Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S2923 - S2952|
|Published online||02 March 2021|
Fuzzy-rough multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, West Bengal, India
* Corresponding author: email@example.com
Accepted: 12 November 2020
In this contribution, for the first time, an efficient model of multi-objective product blending fixed-charge transportation problem with truck load constraints through transfer station is formulated. Transfer station inserts transfer cost and type-I fixed-charge. Our aim is to analyze an extra cost that treats as type-II fixed-charge and truck load constraints in the designed model that required when the amount of items exceeds the capacity of vehicle for fulfilling the shipment by more than one trip. Type-II fixed-charge is added with transportation cost and other cost from transfer station. We consider here an important issue of the multi-objective transportation problem as product blending constraints for transporting raw materials with different purity levels for customers’ satisfaction. In realistic point of view, the parameters of the model are imprecise in nature due to existing several unpredictable factors. These factors are apprehended by incorporating the fuzzy-rough environment on the parameters. Expected-value operator is utilized to derive the deterministic form of fuzzy-rough data, and the model is experienced with help of fuzzy programming, neutrosophic linear programming and global criteria method. Two numerical examples are illustrated to determine the applicability of the proposed model.
Mathematics Subject Classification: 90B06 / 90C08 / 90C29 / 90C70
Key words: Transportation problem / fixed-charge and transfer cost / truck load constraints and product blending / multi-objective optimization / fuzzy-rough uncertainty / fuzzy programming and neutrosophic linear programming / global criteria method
© EDP Sciences, ROADEF, SMAI 2021
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